Exercise 7.1 1. Which of the following numbers are not perfect cubes? (i) 216 Solution: – By resolving 216 into prime factor, 216 = 2×2×2×3×3×3 By grouping the factors in triplets of equal factors, 216 = (2×2×2)×(3×3×3)…

Exercise 9.1 Q1. Identify the terms, their coefficients for each of the following expressions. (i) 5xyz2 – 3zy (ii) 1 + x + x2(iii) 4x2y2 – 4x2y2z2 + z2 (iv) 3 – pq + qr – p (v) (x/2) + (y/2) – xy (vi) 0.3a – 0.6ab + 0.5b Solution : Sl….

Exercise 10.1 1. For each of the given solid, the two views are given. Match for each solid the corresponding top and front views. The first one is done for you. Solution: (a) (iii) (iv) (b) (i)…

Exercise 11.1 1.A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Solution: Side of a square = 60 m (Given) And the length…

Exercise 12.1 1. Evaluate: (i) 3-2 (ii) (-4)-2 (iii) (1/2)-5   Solution: (i) 3-2 = (1/3)2 = 1/9 (ii) (-4)-2 = (1/-4)2 = 1/16 (iii) (1/2)-5 = (2/1)5 = 25 = 32 2.  Simplify and express the result in power notation with positive exponent: (i) (-4)4 ÷(-4)8    (ii) (1/23)2  …

Exercise 13.1 1.Following are the car parking charges near a railway station upto: 4 hours   Rs.60 8 hours   Rs.100 12 hours   Rs.140 24 hours   Rs.180 Check if the parking charges are in direct proportion to the parking…

Exercise 14.1 1. Find the common factors of the given terms. (i) 12x, 36 (ii) 2y, 22xy (iii) 14 pq, 28p2q2 (iv) 2x, 3×2, 4 (v) 6 abc, 24ab2, 12a2b (vi) 16 x3, – 4×2 , 32 x…

Exercise 15.1 1. The following graph shows the temperature of a patient in a hospital, recorded every hour. (a) What was the patient’s temperature at 1 p.m.? (b) When was the patient’s temperature 38.5° C? (c) The…

Exercise 16.1 Find the values of the letters in each of the following and give reasons for the steps involved. 1. Solution: Say, A = 7 and we get, 7+5 = 12 In which one’s place is…